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Finding the Fourth Proportional to 7,184, 9,914.06 and 4,351.48

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Solution

The fourth proportional to 7,184, 9,914.06 and 4,351.48 is: 6,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184 : 9,914.06 = 4,351.48 : x
  2. Step 2: Convert to fraction form
    7,184/9,914.06 = 4,351.48/x
  3. Step 3: Cross multiply
    7,184x = 9,914.06 × 4,351.48
  4. Step 4: Simplify right side
    7,184x = 43,140,833.81
  5. Step 5: Solve for x
    x = 43,140,833.81/7,184
  6. Step 6: Final answer
    x = 6,005.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.